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Simplifying (w + -7) * 3 + -7w = -9 Reorder the terms: (-7 + w) * 3 + -7w = -9 Reorder the terms for easier multiplication: 3(-7 + w) + -7w = -9 (-7 * 3 + w * 3) + -7w = -9 (-21 + 3w) + -7w = -9 Combine like terms: 3w + -7w = -4w -21 + -4w = -9 Solving -21 + -4w = -9 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -4w = -9 + 21 Combine like terms: -21 + 21 = 0 0 + -4w = -9 + 21 -4w = -9 + 21 Combine like terms: -9 + 21 = 12 -4w = 12 Divide each side by '-4'. w = -3 Simplifying w = -3
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